First, forget any paranoid fantasies about being tackled for bringing a "medical water bottle bomb." Your CPAP is classified as medical equipment, which is the golden ticket in airport security. The TSA actually loves these machines, mostly because they keep you from snoring loud enough to wake the dead in seat 14B.
Here’s the legal magic: you are protected by the Air Carrier Access Act. That fancy law means you can bring your CPAP in addition to your carry-on and personal item. Yes, you get three bags now. You’re basically a celebrity with a breathing accessory.